Given numbers are 966,720,420,508

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 966,720,420,508 is 14721840.

Find LCM of 966,720,420,508 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 7 x 23 x 12 x 1 x 127 = 14721840

Therefore, the lowest common multiple of 966,720,420,508 is 14721840.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

966 x 720 x 420 x 508 = 148396147200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

508 : 1, 2, 4, 127, 254, 508

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,720,420,508, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

720:2x 2x 2x 2x 3x 3x 5

420:2x 2x 3x 5x 7

508:2x 2x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 5x 7 = 5040

Therefore, the value for common factors is 5040.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 148396147200/(2x5040)

LCM = 148396147200/10080

LCM = 14721840

Thus, we can understand that the LCM of 966,720,420,508 is 14721840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 824, 736, 530, 778
• LCM of 740, 403, 250, 713
• LCM of 787, 342, 118, 714
• LCM of 257, 404, 289, 406
• LCM of 776, 364, 804, 942

1. What is the LCM of 966, 720, 420, 508?

Answer: LCM of 966, 720, 420, 508 is 14721840.

2. How to calculate the LCM of 966, 720, 420, 508?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 966, 720, 420, 508.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.